1071128815800 has 384 divisors, whose sum is σ = 3558333680640. Its totient is φ = 265593856000.

The previous prime is 1071128815781. The next prime is 1071128815843. The reversal of 1071128815800 is 85188211701.

It is a super-2 number, since 2×1071128815800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666538597 + ... + 666540203.

It is an arithmetic number, because the mean of its divisors is an integer number (9266493960).

Almost surely, 2^{1071128815800} is an apocalyptic number.

1071128815800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071128815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779166840320).

1071128815800 is an abundant number, since it is smaller than the sum of its proper divisors (2487204864840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1071128815800 is a wasteful number, since it uses less digits than its factorization.

1071128815800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 42.

The spelling of 1071128815800 in words is "one trillion, seventy-one billion, one hundred twenty-eight million, eight hundred fifteen thousand, eight hundred".